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4102334420431 = 133147216584891
BaseRepresentation
bin111011101100100110001…
…011111001010111001111
3112112011211201221212222211
4323230212023321113033
51014203040102423211
612420330355451251
7602245446142102
oct73544613712717
915464751855884
104102334420431
111341876918355
125630875b6b27
13239b05142330
141027a842c739
1571aa0114e21
hex3bb262f95cf

4102334420431 has 16 divisors (see below), whose sum is σ = 4657441517568. Its totient is φ = 3586645778400.

The previous prime is 4102334420411. The next prime is 4102334420519. The reversal of 4102334420431 is 1340244332014.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4102334420431 is a prime.

It is a super-2 number, since 2×41023344204312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4102334420393 and 4102334420402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102334420411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108273505 + ... + 108311386.

It is an arithmetic number, because the mean of its divisors is an integer number (291090094848).

Almost surely, 24102334420431 is an apocalyptic number.

4102334420431 is a deficient number, since it is larger than the sum of its proper divisors (555107097137).

4102334420431 is a wasteful number, since it uses less digits than its factorization.

4102334420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216584982.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4102334420431 its reverse (1340244332014), we get a palindrome (5442578752445).

The spelling of 4102334420431 in words is "four trillion, one hundred two billion, three hundred thirty-four million, four hundred twenty thousand, four hundred thirty-one".

Divisors: 1 13 31 47 403 611 1457 18941 216584891 2815603583 6714131621 10179489877 87283711073 132333368401 315564186187 4102334420431